Clavius, Christoph, Gnomonices libri octo, in quibus non solum horologiorum solariu[m], sed aliarum quo[quam] rerum, quae ex gnomonis umbra cognosci possunt, descriptiones geometricè demonstrantur

Table of contents

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[21.] SCHOLIVM.
[22.] THEOREMA 3. PROPOSITIO 4.
[23.] COROLLARIVM.
[24.] THEQREMA 4. PROPOSITIQ 5.
[25.] COROLLARIVM.
[26.] THEOREMA 5. PROPOSITIO 6.
[27.] SCHOLIVM.
[28.] COROLLARIVM.
[29.] THEOREMA 6. PROPOSITIO 7.
[30.] COROLLARIVM.
[31.] PROBLEMA 2. PROPOSITIO 8.
[32.] SCHOLIVM.
[33.] LEMMA.
[34.] LEMMA PRIMVM.
[35.] LEMMA II.
[36.] LEMMA PRIMVM.
[37.] LEMMA II.
[38.] THEOREMA 7. PROPOSITIO 9.
[39.] SCHOLIVM.
[40.] THEOREMA 8. PROPOSITIQ 10.
[41.] COROLLARIVM.
[42.] SCHOLIVM.
[43.] THEOREMA 9. PROPOSITIO 11.
[44.] SCHOLIVM.
[45.] COROLLARIVM PRIMVM.
[46.] COROLLARIVM II.
[47.] THEOREMA 10. PROPOSITIO 12.
[48.] COROLLARIVM.
[49.] THEOREMA 11. PROPOSITIO 13.
[50.] THEOREMA 12. PROPOSITIO 14.
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page |< < (56) of 677 > >|
7656GNOMONICES
Linea horæ 24. ab ortu vel occaſu. Vel horizontalis linea.
11
Horæ ab ortu \\ vel occaſu. # Horæ à meridie \\ vel media noct@ # Horæ ab ortu \\ vel occaſu. # Horæ à meridie \\ vel media nocte # Horæ ab ortu \\ vel occaſu. # Horæ à meridie \\ vel media nocte # Horæ ab ortu \\ vel occaſu. # Horæ à meridie \\ vel media nocte # Horæ ab ortu \\ vel occaſu. # Horæ à meridie \\ vel media nocte # Horæ ab ortu \\ vel occaſu. # Horæ à meridie \\ vel media nocte {1/4} # {1/8} # 4 {1/4} # 2 {1/8} # 8 {1/4} # 4 {1/8} # 12 {1/4} # 6 {1/8} # 16 {1/4} # 8 {1/8} # 20 {1/4} # 10 {1/8} {1/2} # {1/4} # 4 {1/2} # 2 {1/4} # 8 {1/2} # 4 {1/4} # 12 {1/2} # 6 {1/4} # 16 {1/2} # 8 {1/4} # 20 {1/2} # 10 {1/4} {3/4} # {3/8} # 4 {3/4} # 2 {3/8} # 8 {3/4} # 4 {3/8} # 12 {3/4} # 6 {3/8} # 16 {3/4} # 8 {3/8} # 20 {3/4} # 10 {3/8} 1 # {1/2} # 5 # 2 {1/2} # 9 # 4 {1/2} # 13 # 6 {1/2} # 17 # 8 {1/2} # 21 # 10 {1/2} 1 {1/4} # {5/8} # 5 {1/4} # 2 {5/8} # 9 {1/4} # 4 {5/8} # 13 {1/4} # 6 {5/8} # 17 {1/4} # 8 {5/8} # 21 {1/4} # 10 {5/8} 1 {1/2} # {3/4} # 5 {1/2} # 2 {3/4} # 9 {1/2} # 4 {3/4} # 13 {1/2} # 6 {3/4} # 17 {1/2} # 8 {3/4} # 21 {1/2} # 10 {3/4} 1 {3/4} # {7/8} # 5 {3/4} # 2 {7/8} # 9 {3/4} # 4 {7/8} # 13 {3/4} # 6 {7/8} # 17 {3/4} # 8 {7/8} # 21 {3/4} # 10 {7/8} 2 # I # 6 # III # 10 # V # 14 # VII # 18 # IX # 22 # XI 2 {1/4} # 1 {1/8} # 6 {1/4} # 3 {1/8} # 10 {1/4} # 5 {1/8} # 14 {1/4} # 7 {1/8} # 18 {1/4} # 9 {1/8} # 22 {1/4} # 11 {1/8} 2 {1/2} # 1 {1/4} # 6 {1/2} # 3 {1/4} # 10 {1/2} # 5 {1/4} # 14 {1/2} # 7 {1/4} # 18 {1/2} # 9 {1/4} # 22 {1/2} # 11 {1/4} 2 {3/4} # 1 {3/8} # 6 {3/4} # 3 {3/8} # 10 {3/4} # 5 {3/8} # 14 {3/4} # 7 {3/8} # 18 {3/4} # 9 {3/8} # 22 {3/4} # 11 {3/8} 3 # 1 {1/2} # 7 # 3 {1/2} # 11 # 5 {1/2} # 15 # 7 {1/2} # 19 # 9 {1/2} # 23 # 11 {1/2} 3 {1/4} # 1 {5/8} # 7 {1/4} # 3 {5/8} # 11 {1/4} # 5 {5/8} # 15 {1/4} # 7 {5/8} # 19 {1/4} # 9 {5/8} # 23 {1/4} # 11 {5/8} 3 {1/2} # 1 {3/4} # 7 {1/2} # 3 {3/4} # 11 {1/2} # 5 {3/4} # 15 {1/2} # 7 {3/4} # 19 {1/2} # 9 {3/4} # 23 {1/2} # 11 {3/4} 3 {3/4} # 1 {7/8} # 7 {3/4} # 3 {7/8} # 11 {3/4} # 5 {7/8} # 15 {3/4} # 7 {7/8} # 19 {3/4} # 9 {7/8} # 23 {3/4} # 11 {7/8} 4 # II # 8 # IIII # 12 # VI # 16 # VIII # 20 # X # 24 #
In horologio horizõtali lineæ quarũlibet duarũ horarũ huius tabulę ſunt par@llelę, vt cõſtat ex ſcholio propoſ. 22.
Similiter in quibuſdã alijs horologijs parallelæ ſunt lineæ iſtarũ horarũ, nimirũ 12. ab or. vel occ. & 6. à meridie vel
2230 nedia nocte.
Item 24. ab or. uel occ. & 12. à meridie vel media nocte, vt patet ex eodem ſcholio propoſ. 22.
Linea horæ 12. ab ortu vel occaſu.
33
Horæ ab ortu \\ vel occaſu. # Horæ à meridie \\ vel media nocte # Horæ ab ortu \\ vel occaſu. # Horæ à meridie \\ vel media nocte # Horæ ab ortu \\ vel occaſu. # Horæ à meridie \\ vel media nocte # Horæ ab ortu \\ vel occaſu. # Horæ à meridie \\ vel media nocte # Horæ ab ortu \\ vel occaſu. # Horæ à meridie \\ vel media nocte # Horæ ab ortu \\ vel occaſu. # Horæ à meridie \\ vel media nocte {1/4} # 6 {1/8} # 4 {1/4} # 8 {1/8} # 8 {1/4} # 10 {1/8} # 12 {1/4} # {1/8} # 16 {1/4} # 2 {1/8} # 20 {1/4} # 4 {1/8} {1/2} # 6 {1/4} # 4 {1/2} # 8 {1/4} # 8 {1/2} # 10 {1/4} # 12 {1/2} # {1/4} # 16 {1/2} # 2 {1/4} # 20 {1/2} # 4 {1/4} {3/4} # 6 {3/8} # 4 {3/4} # 8 {3/8} # 8 {3/4} # 10 {3/8} # 12 {3/4} # {3/8} # 16 {3/4} # 2 {3/8} # 20 {3/4} # 4 {3/8} 1 # 6 {1/2} # 5 # 8 {1/2} # 9 # 10 {1/2} # 13 # {1/2} # 17 # 2 {1/2} # 21 # 4 {1/2} 1 {1/4} # 6 {5/8} # 5 {1/4} # 8 {5/8} # 9 {1/4} # 10 {5/8} # 13 {1/4} # {5/8} # 17 {1/4} # 2 {3/8} # 21 {1/4} # 4 {5/8} 1 {1/2} # 6 {3/4} # 5 {1/2} # 8 {3/4} # 9 {1/2} # 10 {3/4} # 13 {1/2} # {3/4} # 17 {1/2} # 2 {3/4} # 21 {1/2} # 4 {3/4} 1 {3/4} # 6 {7/8} # 5 {3/4} # 8 {7/8} # 9 {3/4} # 10 {7/8} # 13 {3/4} # {7/8} # 17 {3/4} # 2 {7/8} # 21 {3/4} # 4 {7/8} 2 # VII # 6 # IX # 10 # XI # 14 # I # 18 # III # 22 # V 2 {1/4} # 7 {1/8} # 6 {1/4} # 9 {1/8} # 10 {1/4} # 11 {1/8} # 14 {1/4} # 1 {1/8} # 18 {1/4} # 3 {1/8} # 22 {1/4} # 5 {1/8} 2 {1/2} # 7 {1/4} # 6 {1/2} # 9 {1/4} # 10 {1/2} # 11 {1/4} # 14 {1/2} # 1 {1/4} # 18 {1/2} # 3 {1/4} # 22 {1/2} # 5 {1/4} 2 {3/4} # 7 {3/8} # 6 {3/4} # 9 {3/8} # 10 {3/4} # 11 {3/8} # 14 {3/4} # 1 {3/8} # 18 {3/4} # 3 {3/8} # 22 {3/4} # 5 {3/8} 3 # 7 {1/2} # 7 # 9 {1/2} # 11 # 11 {1/2} # 15 # 1 {1/2} # 19 # 3 {1/2} # 23 # 5 {1/2} 3 {1/4} # 7 {5/8} # 7 {1/4} # 9 {5/8} # 11 {1/4} # 11 {5/8} # 15 {1/4} # 1 {5/8} # 19 {1/4} # 3 {5/8} # 23 {1/4} # 5 {5/8} 3 {1/2} # 7 {3/4} # 7 {1/2} # 9 {3/4} # 11 {1/2} # 11 {3/4} # 15 {1/2} # 1 {3/4} # 19 {1/2} # 3 {3/4} # 23 {1/2} # 5 {3/4} 3 {3/4} # 7 {7/8} # 7 {3/4} # 9 {7/8} # 11 {3/4} # 11 {7/8} # 15 {3/4} # 1 {7/8} # 19 {3/4} # 3 {7/8} # 23 {3/4} # 5 {7/8} 4 # VIII # 8 # X # 12 # XII # 16 # II # 20 # IIII # 24 #
In horologio V erticali ad latitudinẽgr. 45. vel in horologio, qd' circulo horę 12. ab ortu vel occaſu ęquidiſtat, lineę
quarũlibet
duarũ horarũ huius tabulæ ſunt parallelæ.
Pari rõne in quibuſdã alijs horologijs parallelę ſunt lineæ iſta-
rum
horarũ.
24. ab ortu, vel occaſu, & 6. à meridie, vel medianocte, vt ex ſcholio propoſ. 22. manifeſtum eſt.

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